Am I gone mad having bit of amorous self-love? (8)

I believe the answer is:
egomania
'self-love?' is the definition.
Both the definition and answer are singular nouns.
Maybe they are linked in a way I don't understand?
'am i gone mad having bit of amorous' is the wordplay.
'mad' indicates anagramming the letters.
'having' is an insertion indicator.
'bit of' suggests taking the first letters.
The initial letter of 'amorous' is 'a'.
'am'+'i'+'gone'='amigone'
'amigone' with letters rearranged gives 'egomnia'.
'egomnia' going around 'a' is 'EGOMANIA'.
Can you help me to learn more?
(Other definitions for egomania that I've seen before include "Obsessive self-centredness" , "Excessive pride" , "Obsessive self-absorption" , "Abnormally excessive opinion of oneself, quite mad" , "Excessive self-centredness" .)
