Not care/give tuppence for somebody/something
Definition 1 of 1
Pro Tip 1/3British Origin
The phrase uses 'tuppence', a British term for two pence, to mean something is of little value. 
He doesn't care tuppence for modern art.
Pro Tip 2/3Emotional Dismissal
The phrase conveys a dismissive attitude and is often used to express a lack of emotional investment. 
She couldn't give tuppence for his excuses.
Pro Tip 3/3Informal Use
This phrase is informal and not typically used in formal writing or speech. 
I don't give tuppence for celebrity gossip.