acrophoben.

1894 H. M. Bannister tr. E. Régis Pract. Man. Mental Med. 270 An American alienist, who confesses himself an acrophobe like Verga [Fr. qui se reconnait acrophobe, comme Verga], noticed among his sensations at the moment of the attack, a quick and painful contraction of the scrotum.

1934 Brit. Med. Jrnl. 1 318/1 The acrophobe's ‘cold sweat’ at the mere mention of the objects of his dread.

1955 M. McCarthy Charmed Life v. 105 She used to force herself..like an acrophobe who makes himself look over a parapet.

1960 ‘A. Burgess’ Doctor is Sick i. 9 Edwin was an acrophobe. His head began to spin.

1999 N. Barr Blind Descent ii. 28 All that existed was the bright yellow-and-blue weave of the line that held her, and the rough russet of her battered leather gloves. An ideal rappel for an acrophobe.