When Keen pulls the duct tape of Dr. Collins' mouth, it comes off very easily. There is another layer of tape on the back so only a thin strip around the edge was adhesive.
Around 34 minutes in, when the characters are in The Scimitar's mansion you can clearly see red tape on the floor to mark an actor's position in a later shot in the bottom right of the screen.
At around 9 minutes, Tom is chained to the floor with a screw-gated quick link. After months he would have noticed how to free himself.