Demanding deep thought, expert discovered (8)
I believe the answer is:
profound
'demanding deep thought' is the definition.
'expert discovered' is the wordplay.
'expert' becomes 'pro' (I've seen this before).
'discovered' becomes 'found' (finding is a kind of discovering).
'pro'+'found'='PROFOUND'
(Other definitions for profound that I've seen before include "anything but superficial" , "deeply intellectual" , "Needing deep thought" , "showing great knowledge" , "Overpowering" .)