Work around spilt rum, causing great agitation (7)
I believe the answer is:
turmoil
'great agitation' is the definition.
'turmoil' can be an answer for 'agitation' (turmoil is a kind of agitation). I'm not certain of the 'great' bit.
'work around spilt rum' is the wordplay.
'work' becomes 'toil' (toil is a kind of work).
'around' means one lot of letters goes inside another.
'spilt' is an anagram indicator.
'rum' with letters rearranged gives 'urm'.
'toil' placed around 'urm' is 'TURMOIL'.
'causing' is the link.
Can you help me to learn more?
(Other definitions for turmoil that I've seen before include "Agitation, din, bustle" , "Brouhaha" , "upset" , "Chaos" , "State of great commotion or disturbance" .)