Way of moving around in some agitation (4)
I believe the answer is:
gait
'way' is the definition.
(I have seen 'Way of walking' mean 'gait' so perhaps 'way' could also mean 'gait')
'moving around in some agitation' is the wordplay.
'moving around in' becomes 'gai' (I can't justify this - if you can you should believe this answer much more).
'some' means to look at the middle letters.
'agitation' becomes 'swither' (swither is a kind of agitation).
The centre of 'swither' is 't'.
'gai'+'t'='GAIT'
'of' is the link.
Can you help me to learn more?
(Other definitions for gait that I've seen before include "Bearing" , "Method of moving" , "Manner of walking or running" , "Way of walking (4)" , "walkway?" .)