Green’s Dictionary of Slang

dropped adj.2

[the trad. gift by the man of a pendant or drop, bearing his initials]

(US campus) unofficially but dedicatedly engaged to be married.

[US]G. Underwood ‘Razorback Sl.’ in AS L:1/2 58: dropped adj Informally engaged or going together.
[US]Eble Campus Sl. Mar. 2: dropped – going steady.