Whether or not the clips that hold the tub lid in place are strong enough depend on the brand and the type of clips used. I would definitely get a set of luggage straps to secure most lids, they're cheap.

Tape should never ever be used inside of an enclosure. If you have rough edges on a hide because you cut plastic with a pair of scissors, use an emery board to file them smooth, it will only take a few minutes of time and emery boards are cheap.