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 am not sure about this - if you are sure you should give a lot more credence to this answer).
'some' indicates the central letters.
'agitation' becomes 'swither' (swither is a kind of agitation).
The central letter 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?" .)