Conceal very horrid lie (4)
I believe the answer is:
veil
'conceal' is the definition.
(veiling is a kind of concealing)
'very horrid lie' is the wordplay.
'very' becomes 'v' (abbreviation**).
'horrid' indicates an anagram.
'lie' with letters rearranged gives 'eil'.
'v'+'eil'='VEIL'
(Other definitions for veil that I've seen before include "Cover, conceal" , "Hide; yashmak" , "Mask" , "Yashmak, e.g." , "Face-covering for brides and other women" .)