The Collaborative International Dictionary of English v.0.48:

Lim \Lim\ (l[i^]m), n. [See Limb.]
   A limb. [Obs.] --Chaucer.
   [1913 Webster]

V.E.R.A. -- Virtual Entity of Relevant Acronyms (February 2016):

LIM
       Lotus - Intel - Microsoft (manufacturer)