Green’s Dictionary of Slang

loge n.

(UK Und.) a watch.

c.1698		B.E. Dict. Canting Crew n.p.: Loge, c. a Watch. I suppose from the French Horloge.
1718		C. Hitchin Regulator 20: A Loge, alias Watch.
1725		New Canting Dict. [as cit. c.1698].
1736		Proc. Old Bailey 8 Dec. 24/1: I have just now made a Watch, and have tipp'd George Sutton a Hanger and the Loge.
1739		Proc. Old Bailey 6 Sept. 147/2: I ask’d her, what she was brought in for? She told me, — for picking a Cull’s Pocket of a Loge, (a Watch) three Weeks ago.
1741		Select Trials at Old Bailey (1742) IV 348: They took Opportunity to make the Gentleman’s Loges and Tales, (or Men’s repeating Watches).
1753		J. Poulter Discoveries (1774) 30: There is a Cull that has a rum Loag, Gammon: Then we jostle him up, and one knocks his Kelp off, and while he lifts his Hand up, his Loag is napp’d.
1785, 1788, 1796		Grose Classical Dict. of the Vulgar Tongue.
1809		G. Andrewes Dict. Sl. and Cant.
1822		Life and Trial of James Mackcoull 299: She believed he had ne’er a loge.
1848		Flash Dict. in Sinks of London Laid Open.

In phrases

vid loge (n.) [? Lat. video, I look at; Partridge suggests Fr. vide, empty, hollow]

a repeating watch.

1741		Ordinary of Newgate Account 18 Mar. 🌐 [...] to Saweer clearly, (that is, to keep a good look out) that they should have Vid Loges, (repeating Watches) by their Side [...] in each Lower there were Ridges (or Guineas) and two Vid Loges.
1764		Bloody Register III 170: They should have Vid Loges (repeating watches) by their side, that Jenny’s footman might place his mistress accordingly.