Lie next to Clio for one puzzle (6)
I believe the answer is:
bemuse
'one puzzle' is the definition.
(I've seen this in another clue)
'lie next to clio' is the wordplay.
'lie next' becomes 'be' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'to clio' becomes 'muse' (Clio was the Greek muse of history).
'be'+'muse'='BEMUSE'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for bemuse that I've seen before include "Nonplus" , "Floor" , "Puzzle, make confused" , "Confuse, bewilder" , "Stupefy, puzzle" .)