In tears? Caught with lucky right in boxing venue! (6)
I believe the answer is:
crying
'in tears?' is the definition.
(someone crying has burst into tears)
'caught with lucky right in boxing venue' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'with' says to put letters next to each other.
'right' indicates one should take the final letters (the letter on the right of the word).
'in' means one lot of letters goes inside another.
'boxing venue' becomes 'ring' (boxing ring).
The last letter of 'lucky' is 'y'.
'y' put inside 'ring' is 'rying'.
'c'+'rying'='CRYING'
(Other definitions for crying that I've seen before include "Shame may be" , "Shedding tears" , "Weeping" , "Sobbing" , "Lamentable" .)