Manage to hear part of the phrase, or slogan (9)
I believe the answer is:
catchword
'slogan' is the definition.
(synonyms)
'manage to hear part of the phrase' is the wordplay.
I cannot really understand how this works, but
'hear' could be 'catch' (catching is a kind of hearing) and 'catch' is present in the answer.
'part' could be 'word' (word is a kind of part) and 'word' is present in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
'or' acts as a link.
Can you help me to learn more?
(Other definitions for catchword that I've seen before include "Popular phrase" , "Slogan or memorable expression" , "topical slogan" .)