“Have a Stickybeak” Means “Go and Have a Look”

In Australia, “Let’s have a stickybeak” usually invites someone to go and have a curious look. Stickybeak can also describe an inquisitive person or mean to pry, so the phrase is casual and may carry a slight sense of looking for the sake of curiosity.

A: They’ve finished renovating the office.
B: Let’s have a stickybeak after lunch.

Here, the speakers simply want to see the renovated office. Around someone else’s private affairs, however, stickybeak can sound nosy. “Have a look” is safer in neutral or formal settings. The expression is also used in New Zealand English, while many American listeners may not recognise it.

https://www.collinsdictionary.com/dictionary/english/stickybeak