Rashly come out, getting weepy (10)
I believe the answer is:
lachrymose
'weepy' is the definition.
(thesaurus)
'rashly come out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'rashly'+'come'='rashlycome'
'rashlycome' with letters rearranged gives 'LACHRYMOSE'.
'getting' is the link.
(Other definitions for lachrymose that I've seen before include "In bits" , "Weepy" , "This is given to crying" , "Sad" , "Tearful (literary)" .)