Dissatisfaction as Lennon -- Julia -- is oddly ignored (5)
I believe the answer is:
ennui
'dissatisfaction' is the definition.
(ennui is a kind of dissatisfaction)
'lennon julia is oddly ignored' is the wordplay.
'is oddly ignored' means one should take alternating letters (letters in odd-numbered positions are removed).
'lennon'+'julia'='lennonjulia'
The alternating letters of 'lennonjulia' are 'ENNUI'.
'as' is the link.
(Other definitions for ennui that I've seen before include "to make one list less when connected" , "French boredom and lassitude" , "What's tedious and instils such listlessness" , "Feeling of listlessness" , "Mental weariness" .)