Museum regularly checked old issues for damage (9)
I believe the answer is:
vandalise
'for damage' is the definition.
(I've seen this before)
'museum regularly checked old issues' is the wordplay.
'museum' becomes 'V and A' (Victoria and Albert Museum).
'regularly checked' means one should take alternating letters (letters checked or taken at regular intervals).
'old'+'issues'='oldissues'
The alternate letters of 'oldissues' are 'lise'.
'vanda'+'lise'='VANDALISE'
(Other definitions for vandalise that I've seen before include "Wilfully damage" , "Destroy" , "Deliberately damage" , "Wreck" , "Inflict malicious damage" .)