I'm obsequious chap, stony broke (9)
I believe the answer is:
sycophant
'i'm obsequious' is the definition.
(I've seen this before)
'chap stony broke' is the wordplay.
'broke' indicates an anagram.
'chap'+'stony'='chapstony'
'chapstony' is an anagram of 'SYCOPHANT'.
(Other definitions for sycophant that I've seen before include "I'm obsequious" , "receiving ultimate in flattery from one such?" , "Servile flatterer" , "yes-man" , "Creep" .)