When Shooting Off of a Clamp-On/Clamp-In Style Rest, Hold the Front of the Crossbow Securely
Just bringing the crossbow back into and tight to the shoulder isn’t going to stop the front-end from bouncing. If you can’t grip the fore-grip, make sure you hold the bipod, tripod, etc. securely.
Shooting offhand there’s not as much “bounce” since you are already holding the crossbow at the fore-grip and pulling it into your shoulder.