Catch on a small branch (4)
I believe the answer is:
twig
I believe this clue is a double definition.
'catch on' is the first definition.
('twig' can be a synonym of 'catch on')
'a small branch' is the second definition.
(I've seen this before)
(Other definitions for twig that I've seen before include "Small woody shoot" , "Small tree shoot" , "Division of branch" , "Small shoot or branch" , "small piece in plane, say" .)