Sticky stuff made by head of theology and primate (4)
I believe the answer is:
tape
'sticky stuff' is the definition.
(I've seen this in another clue)
'head of theology and primate' is the wordplay.
'head of' indicates taking the first letters.
'and' means one lot of letters go next to another.
'primate' becomes 'ape' (large primate).
The initial letter of 'theology' is 't'.
't'+'ape'='TAPE'
'made by' acts as a link.
(Other definitions for tape that I've seen before include "Video recording" , "Recording material" , "Sticky strip" , "Record; material strip" , "Common medium for recording" .)