1) Boastful one 2) Complacent one 3) Conceited person 4) Disagreeable person 5) Egoist 6) Hard one to work with 7) His aim is to get recognition 8) Legend in his own mind 9) Me-firster 10) No modest violet 11) One looking out for number 1 12) Opinionated sort 13) Overweening one 14) Self-absorbed person Found on https://www.crosswordclues.com/clue/egotist
E'go·tist noun [ Latin ego I + ending -tist for -ist . See Egotism , and confer Egoist .] One addicted to egotism; one who speaks much of himself or magnifies his own achievements or affairs. Found on http://www.encyclo.co.uk/webster/E/13