Anew is an adverb, and it means again or once more.
As a vice chairman and longtime stockholder of Bear Stearns, Fares D. Noujaim suffered an emotional and financial blow when the investment bank imploded. Now he gets a chance to start anew. (NY Times)
In a break with the administration, Federal Deposit Insurance Corp. Chairman Sheila Bair, also testifying before the panel, pressed anew for using $24 billion of the bailout money to help some American households avoid foreclosure. As foreclosures mount, the government is “clearly falling behind the curve,” she warned. (Houston Chronicle)
Similar in use, therefore, to ‘afresh’: ‘He took the opportunity to start afresh’. Or, as you Americans say ‘to start over’; while in Britain we say ‘over again’.