The Collaborative International Dictionary of English v.0.48:

Tweag \Tweag\, Tweague \Tweague\, n.
   A pinching condition; perplexity; trouble; distress. [Obs. or
   Prov. Eng.]
   [1913 Webster]

         This put the old fellow in a rare tweague. --Arbuthnot.
   [1913 Webster]