take a punt at
1. To make an attempt at; to try. John's taking a punt at writing for an online magazine. He says he likes it so far.
2. To make a guess or estimate about. Many tech websites like this try to take a punt at what cultural trends will be like, but few of them are ever on the mark.
take (or have) a punt at
have a go at; attempt. Australian & New Zealand informal 1998 Times: Magazine However cheerfully positive I can be about the future, the man from the Pru isn't going to take a punt on me living the full term.