'While that' definitions:

Definition of 'While that'

From: GCIDE

While \While\, conj.
1. During the time that; as long as; whilst; at the same time that; as, while I write, you sleep. "While I have time and space." --Chaucer. [1913 Webster]
Use your memory; you will sensibly experience a gradual improvement, while you take care not to overload it. --I. Watts. [1913 Webster]
2. Hence, under which circumstances; in which case; though; whereas. [1913 Webster]
While as, While that, during or at the time that. [Obs.] [1913 Webster]