Obvious her tale was wrong - it's glossy (6,7)
I believe the answer is:
patent leather
'it's glossy' is the definition.
I can't judge whether this defines the answer.
'obvious her tale was wrong' is the wordplay.
'obvious' becomes 'patent' (similar in meaning).
'was wrong' indicates an anagram (I've seen 'is wrong' mean this).
'her'+'tale'='hertale'
'hertale' is an anagram of 'leather'.
'patent'+'leather'='PATENT LEATHER'
Can you help me to learn more?
(Other definitions for patent leather that I've seen before include "shiny skin" , "Tanned animal skin made hard and glossy" , "Glossy shoe material" , "it will present a varnished surface" , "Varnished hide" .)