Sluggish or random movement close to that (7)
I believe the answer is:
dormant
'sluggish' is the definition.
(I've seen this before)
'random movement close to that' is the wordplay.
'movement' indicates an anagram (letters move around).
'close to' says to take the final letters (the close of something is the end).
The final letter of 'that' is 't'.
'random' is an anagram of 'dorman'.
'dorman'+'t'='DORMANT'
'or' is the link.
(Other definitions for dormant that I've seen before include "In deep sleep" , "Temporarily quiet" , "Inactive, but not dead" , "Mordant about lying inactive" , "Sluggish" .)