Initiate's Companion does not have summoning sickness and cannot be blocked and killed by an opponent.

Activate Izzet Chemister's first ability by paying and tapping it, exiling Late to Dinner from your graveyard.
Declare Initiate's Companion as an attacker.
Finest Hour's exalted and second ability triggers.
Resolve the first Finest Hour trigger, giving Initiate's Companion +1/+1 until end of turn.
Resolve the second Finest Hour trigger, untapping Initiate's Companion and causing you to get an additional combat phase after this one.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's first ability by paying and tapping it, exiling Time Walk from your graveyard.
Move to your second combat phase, and declare Initiate's Companion as an attacker.
Finest Hour's exalted ability triggers, giving Initiate's Companion +1/+1 until end of turn.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's second ability by paying , tapping and sacrificing it, casting Late to Dinner and Time Walk from exile without paying their mana costs.
Resolve Time Walk, causing you to take an extra turn after this one.
Resolve Late to Dinner, returning Izzet Chemister from your graveyard to the battlefield and creating a Food token.
Repeat each turn.

Initiate's Companion does not have summoning sickness and cannot be blocked and killed by an opponent.

Activate Izzet Chemister's first ability by paying and tapping it, exiling Late to Dinner from your graveyard.
Declare Initiate's Companion as an attacker.
Finest Hour's exalted and second ability triggers.
Resolve the first Finest Hour trigger, giving Initiate's Companion +1/+1 until end of turn.
Resolve the second Finest Hour trigger, untapping Initiate's Companion and causing you to get an additional combat phase after this one.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's first ability by paying and tapping it, exiling Walk the Aeons from your graveyard.
Move to your second combat phase, and declare Initiate's Companion as an attacker.
Finest Hour's exalted ability triggers, giving Initiate's Companion +1/+1 until end of turn.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's second ability by paying , tapping and sacrificing it, casting Late to Dinner and Walk the Aeons from exile without paying their mana costs.
Resolve Walk the Aeons, causing you to take an extra turn after this one.
Resolve Late to Dinner, returning Izzet Chemister from your graveyard to the battlefield and creating a Food token.
Repeat each turn.

Initiate's Companion does not have summoning sickness and cannot be blocked and killed by an opponent.

Activate Izzet Chemister's first ability by paying and tapping it, exiling Late to Dinner from your graveyard.
Declare Initiate's Companion as an attacker.
Finest Hour's exalted and second ability triggers.
Resolve the first Finest Hour trigger, giving Initiate's Companion +1/+1 until end of turn.
Resolve the second Finest Hour trigger, untapping Initiate's Companion and causing you to get an additional combat phase after this one.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's first ability by paying and tapping it, exiling Capture of Jingzhou from your graveyard.
Move to your second combat phase, and declare Initiate's Companion as an attacker.
Finest Hour's exalted ability triggers, giving Initiate's Companion +1/+1 until end of turn.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's second ability by paying , tapping and sacrificing it, casting Late to Dinner and Capture of Jingzhou from exile without paying their mana costs.
Resolve Capture of Jingzhou, causing you to take an extra turn after this one.
Resolve Late to Dinner, returning Izzet Chemister from your graveyard to the battlefield and creating a Food token.
Repeat each turn.

Initiate's Companion does not have summoning sickness and cannot be blocked and killed by an opponent.

Activate Izzet Chemister's first ability by paying and tapping it, exiling Late to Dinner from your graveyard.
Declare Initiate's Companion as an attacker.
Finest Hour's exalted and second ability triggers.
Resolve the first Finest Hour trigger, giving Initiate's Companion +1/+1 until end of turn.
Resolve the second Finest Hour trigger, untapping Initiate's Companion and causing you to get an additional combat phase after this one.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's first ability by paying and tapping it, exiling Temporal Manipulation from your graveyard.
Move to your second combat phase, and declare Initiate's Companion as an attacker.
Finest Hour's exalted ability triggers, giving Initiate's Companion +1/+1 until end of turn.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's second ability by paying , tapping and sacrificing it, casting Late to Dinner and Temporal Manipulation from exile without paying their mana costs.
Resolve Temporal Manipulation, causing you to take an extra turn after this one.
Resolve Late to Dinner, returning Izzet Chemister from your graveyard to the battlefield and creating a Food token.
Repeat each turn.

Initiate's Companion does not have summoning sickness and cannot be blocked and killed by an opponent.

Activate Izzet Chemister's first ability by paying and tapping it, exiling Late to Dinner from your graveyard.
Declare Initiate's Companion as an attacker.
Finest Hour's exalted and second ability triggers.
Resolve the first Finest Hour trigger, giving Initiate's Companion +1/+1 until end of turn.
Resolve the second Finest Hour trigger, untapping Initiate's Companion and causing you to get an additional combat phase after this one.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's first ability by paying and tapping it, exiling Time Warp from your graveyard.
Move to your second combat phase, and declare Initiate's Companion as an attacker.
Finest Hour's exalted ability triggers, giving Initiate's Companion +1/+1 until end of turn.
Deal combat damage to an opponent using Initiate's Companion.
Initiate's Companion triggers, untapping Izzet Chemister.
Activate Izzet Chemister's second ability by paying , tapping and sacrificing it, casting Late to Dinner and Time Warp from exile without paying their mana costs.
Resolve Time Warp, causing you to take an extra turn after this one.
Resolve Late to Dinner, returning Izzet Chemister from your graveyard to the battlefield and creating a Food token.
Repeat each turn.