Imperil with indignation at the finish (8)
I believe the answer is:
endanger
'imperil' is the definition.
(synonyms)
'indignation at the finish' is the wordplay.
'indignation' becomes 'anger' (indignant anger).
'at' is a charade indicator (letters next to each other) (I've seen this in other clues).
'the finish' becomes 'end' (I've seen this before).
'anger' put after 'end' is 'ENDANGER'.
'with' is the link.
(Other definitions for endanger that I've seen before include "Hazard" , "Place into peril, jeopardise" , "Pose a threat to" , "Put in jeopardy" , "Threaten" .)