tongue... league...brogue...morgue...plague...
Leaguemorgueplaguetongue.
league
Catalogue colleague synagogue.
Colleage,Catalogue,Trialogue
catalogue colleague Decalogue demagogue homologue idealogue ideologue monologue pedagogue synagogue trialogue
arguecataloguedialoguefatigueintrigueleagueplaguesynagoguetonguevague
Gue has no meaning. Usually this word structure comes from the root word log which means speech.
gue
Vague
Yes, there is a dessert that ends in gue. Meringue is a dessert that is made from whipped egg whites, confectioner's sugar, and cream of tartar. Some people like to top it with whipped cream.
How about: 'rogue'
Just two: AR-gue.