Love new hat - don't lie on it (4)

I believe the answer is:

oath

I'm a little stuck... Click here to teach me more about this clue!

'don't lie on it' is the definition.
I can't judge whether this defines the answer.

'love new hat' is the wordplay.
'love' becomes 'o' (love means zero in tennis).
'new' indicates an anagram.
'hat' with letters rearranged gives 'ath'.
'o'+'ath'='OATH'

Can you help me to learn more?

(Other definitions for oath that I've seen before include "blasphemy" , "Profane or obscene expression" , "Sworn promise" , "Strong language" , "swearing" .)

I've seen this clue in The Globe and Mail.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.