It seems somewhat cheap, parent lying (10)
I believe the answer is:
apparently
'it seems' is the definition.
(I've seen this before)
'somewhat cheap parent lying' is the wordplay.
'somewhat' says the answer is hidden in the clue.
'APPARENTLY' can be found hidden inside 'cheap parent lying'.
(Other definitions for apparently that I've seen before include "so it seems" , "Seemingly" , "Clearly" , "On the face of it" .)