... anaemic pet runs free (10)
I believe the answer is:
emancipate
'free' is the definition.
(I've seen this before)
'anaemic pet runs' is the wordplay.
'runs' indicates an anagram.
'anaemic'+'pet'='anaemicpet'
'anaemicpet' with letters rearranged gives 'EMANCIPATE'.
(Other definitions for emancipate that I've seen before include "Liberate" , "Free from restrictions" , "Free from slavery" , "release" , "Set free" .)