There is no change in it being legal for squirrel while the archery season is going on. However, the following statute is still in effect:
70-4-123. Hunting with bow and arrow while in possession of firearms or accompanied by a person in possession of firearms -- Penalty.
(a) It is unlawful for any person hunting big game with a bow and arrow to be in possession of any firearms or be accompanied in hunting by any person possessing firearms during the archery-only deer season; provided, that persons authorized to carry a handgun pursuant to § 39-17-1351 may carry a handgun as defined in § 39-11-106(a) while hunting big game with a bow and arrow during the archery-only deer season.
(b) A person who violates this section commits a Class C misdemeanor.
For those authorized to carry a handgun, it is illegal for it to be used to do any hunting while archery hunting. It is for self protection only.