More on Wile away Time from Infoplease:

• Wile away Time - Wile away Time (not While). It is the same word as “guile,” to “beguile the ...
• The Monkey and the Dolphin - When people go on a voyage they often take with them lap-dogs or monkeys as pets to wile away the time. Thus it fell out that a man returning to Athen
• Dictionary of Phrase and Fable: W - Definitions, origins, and illustrative excerpts for words, phases, and literary allusions starting with "W"