Be uncritically fond of party, made up of teenage outsiders (4)
I believe the answer is:
dote
'be uncritically fond' is the definition.
I can't judge whether this definition defines the answer.
'party made up of teenage outsiders' is the wordplay.
'party made up of' becomes 'do' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'outsiders' means to remove the middle letters (only the letters on the outside of the word remain).
'teenage' with its middle taken out is 'te'.
'do'+'te'='DOTE'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for dote that I've seen before include "show uncritical fondness" , "Show excessive affection" , "Be excessively fond" , "Love beyond reason" , "Be infatuated" .)