tight
loose
makeshift
compression
adhesive (AmE)
crepe, elastic, gauze
clean, sterile
fresh, new

put on, wind, wrap
Wrap the bandage firmly around the injured limb.

tie
have on, wear
change, remove, take off, undo

bandage around, bandage round (esp. BrE)
bandage on
She had a bandage on her arm.

be in bandages, be swathed in bandages, be wrapped in bandages
He'll be in bandages for a few weeks.

Bandage is used with these nouns as the object:
cut, wound, wrist