Last to finish with the majority (7)
I believe the answer is:
endmost
'last' is the definition.
(I've seen this before)
'finish with the majority' is the wordplay.
'finish' becomes 'end' ('end' can be a synonym of 'finish').
'with' is a charade indicator (letters next to each other).
'the majority' becomes 'most' (I've seen this before).
'end'+'most'='ENDMOST'
'to' is the link.
(Other definitions for endmost that I've seen before include "Farthest" , "extreme situation" , "Furthest away" , "Last in a row" , "final" .)