Shortest I've seen in 308 is 10" , and it cycled fine .
I don't see why a shorter one wouldn't cycle....the problem with short barrels and the pistol gas system tends to be that they are over gassed so the proper size gas port or an adjustable gas block would be critical so you don't put undue stress on the components and brass.
You'll loose alot of the benefits of a 308 on a short barrel but it can be done.
Your best bet is to contact someone who sells "custom" barrels (like Mc Gowen, x-caliber, etc) and ask them how short they are willing to make one. Google is your friend.
I don't see why a shorter one wouldn't cycle....the problem with short barrels and the pistol gas system tends to be that they are over gassed so the proper size gas port or an adjustable gas block would be critical so you don't put undue stress on the components and brass.
You'll loose alot of the benefits of a 308 on a short barrel but it can be done.
Your best bet is to contact someone who sells "custom" barrels (like Mc Gowen, x-caliber, etc) and ask them how short they are willing to make one. Google is your friend.