He dances madly round psychoanalyst showing delight in others’ woes (13)
I believe the answer is:
schadenfreude
'he dances madly round psychoanalyst showing delight in others' woes' is the definition.
Although both the answer and definition are singular nouns, I don't see how one could define the other.
'he dances madly round psychoanalyst' is the wordplay.
'madly' indicates an anagram.
'round' is an insertion indicator.
'psychoanalyst' becomes 'freud' (Sigmund Freud, father of psychoanalysis).
'he'+'dances'='hedances'
'hedances' is an anagram of 'schadene'.
'schadene' going around 'freud' is 'SCHADENFREUDE'.
(Other definitions for schadenfreude that I've seen before include "Enjoyment of another's pain" , "enjoying his misery?" , "Delight in the troubles of others" , "Malicious pleasure in the misfortunes of others" , "Pleasure gained from another's misfortune" .)