What character might "lia" [Ĩia⁵³] meaning "lick" be?
http://www.cantonese.sheik.co.uk/dictionary/characters/8365/
laai2
lick/lap with tongue
This character is used in Cantonese, not Mandarin/Standard written Chinese.

 someone's 鞋 = &quot;to lick someone's boot&quot; = brown-nosing