Handlers of matches concerned with fire -- see rioting after one's dropped (8)
I believe the answer is:
referees
'handlers of matches' is the definition.
'see rioting after one's dropped' is the wordplay.
'rioting' indicates anagramming the letters.
'after' is a charade indicator (letters next to each other).
'one's dropped' becomes 'refer' (I can't justify this - if you can you should believe this answer much more).
'see' is an anagram of 'ees'.
'ees' after 'refer' is 'REFEREES'.
'concerned with fire' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for referees that I've seen before include "Sports officials" , "Arbiters as in soccer" , "Arbiters, often in sport" , "Match officials" , "Officials to ensure fair play" .)