Verb
give a rip (third-person singular simple present gives a rip, present participle giving a rip, simple past and past participle gave a rip)
(idiomatic) To care.
If anyone gives a rip about the team they will be at practice.
I can tell you do not give a rip about me or my opinions.
Many people don't give a rip about politics and know as much about public affairs as they know about the topography of Pluto. Tony Snow