Sadly my hand is in the way , but I tuck the hose in my belt in the hip area. I don't find re stowing a problem, I just grab the hose and push it and my fist through under the belt let go and remove fist. Then once the reg is comfortably in my mouth i just pull the loop of hose thats sticking through my belt till the slack is all removed.
I am not a GUE diver either, I just like this for a singles rig.
ATB
Mark