Lewis & Short

gallĭcĭnĭum, ii, n. [1. gallus-cano], cock-crowing, used only transf. as a specification of time, for the last watch of the night, the break of day, early dawn: noctis gallicinio venit quidam juvenis, App. M. 8 init.; Amm. 22, 14; Macr. S. 1, 3; Censor. de Die Nat. 24.
Plur., Petr. 62, 3.