cover (your) ass

to make sure that you cannot be blamed or criticized later for something.

The police were more interested in covering their asses than in finding the killer.

• give a thumbs down
• give a thumbs down someone
• give a thumbs down something
• give a thumbs up
• give a thumbs up someone
• give a thumbs up something
• give a tinker's cuss
• give a tinkle
• give a toss
• give away
• give a whirl
• give a wide berth
• give best shot
• give birth to
• give birth to something
• give carte blanche
• give chapter and verse
• give due
• give enough rope
• give enough rope to hang
• give enough rope to hang themselves
• give eye teeth for
• give eyeteeth for
• give eye teeth for something
• give eyeteeth for something