Green’s Dictionary of Slang

1. a tutor.

1856		B.H. Hall College Words (rev. edn) 466: tute. Abbreviation for Tutor.
1871		L.H. Bagg Four Years at Yale 49: Tute, abbreviation for tutor.
1896		W.C. Gore Student Sl. in Cohen (1997) 8: tute. n. Tutor.

2. (US black) a prostitute.

1977

N.C. Heard When Shadows Fall 101: [H]er customers (and they were not few) were some of the biggest names in the city. She was no ordinary ’tute.

3. (also tut) a tutorial.

1986

M. Cope ‘Hummous & Dried Blood’ in Spiral of Fire (1987) 130: Is that how you pronounce it? I used to avoid saying the word in English tuts.