Stick (one's) neck out spoken language verb phrase
Used to describe the action of taking risks.
I was sticking my neck out for you and even could get fired, but look what, you scold me?
You are sticking your neck out when complaining to the boss about his way of managing his subordinates.
Don't stick your neck out for things that are none of your business.
I decided to stick my neck out and invested money in that start-up company.
If you take a flyer (on something), you take a chance, risk, or gamble on it.
This proverb advise you already have your own valuable thing, so you don't need to take the risk of getting something better, which may cause you to lose everything.
1. To grab or make the most of the opportunities when they happens or exists
2. When you take your chances, you take a risk because you may fail.
To do something without considering risks, threats, or consequences
To do something harmful or dangerous to one's health and life
The verb "stick" should be conjugated with its tense.