Olivier periodically dressed in check cloth (6)
I believe the answer is:
velvet
'cloth' is the definition.
(velvet is a kind of cloth)
'olivier periodically dressed in check' is the wordplay.
'periodically' indicates alternate letters (letters must be selected 'every so often').
'dressed in' indicates putting letters inside (inserted letters are dressed in others).
'check' becomes 'vet' (I've seen this in other clues).
The alternate letters of 'olivier' are 'lve'.
'lve' inserted inside 'vet' is 'VELVET'.
(Other definitions for velvet that I've seen before include "A glove made of this might cover an iron hand" , "Silky densely piled fabric" , "Plush-like fabric" , "Thick piled fabric" , "Silky fabric with thick pile" .)