Art lover worried about moving these (8)
I believe the answer is:
aesthete
'art lover' is the definition.
(I've seen this before)
'worried about moving these' is the wordplay.
'worried' becomes 'ate' (something worrying may eat someone up).
'about' means one lot of letters goes inside another.
'moving' indicates an anagram.
'these' is an anagram of 'esthe'.
'ate' going around 'esthe' is 'AESTHETE'.
(Other definitions for aesthete that I've seen before include "One sensitive to art and beauty" , "He has good taste" , "Someone who claims sensibility for art and nature" , "person of culture" , "One who appreciates beautiful things as in arts" .)