Show in reconstructed PE centre (8)
I believe the answer is:
pretence
'show' is the definition.
(a pretence can mean something done for show)
'reconstructed pe centre' is the wordplay.
'reconstructed' is an anagram indicator.
'pe'+'centre'='pecentre'
'pecentre' anagrammed gives 'PRETENCE'.
'in' acts as a link.
(Other definitions for pretence that I've seen before include "Acting of making something appear true when it's not" , "Act of imagination" , "Sham" , "False show hiding reality" , "False show; make-believe" .)