Don’t hold back with the rent, maybe, sobbing (9)

'maybe sobbing' is the definition.
'tearfully' can be an answer for 'sobbing'. I am not certain of the 'maybe' bit.

'don't hold back with the rent' is the wordplay.
'don't hold back' becomes 'fully' (I can't explain this - if you can you should believe this answer much more).
'with' is a charade indicator (letters next to each other).
'the rent' becomes 'tear' ('tear' can be a synonym of 'rent').
'fully' after 'tear' is 'TEARFULLY'.