Someone had posted a bottle juicer that screwed onto the bottle but my wife looked at it and said "that won't work for my beer bottles" You'll have to make one that fits pop offs.
This one holds onto the bottle in three ways.
First - The straw down the neck - this will displace some liquid you may want to take a sip first.
Second - it does grip the top a bit. Its not super aggressive just enough to give it a touch of gription.
Third - the over the neck legs. The idea here is you grip around the neck and the legs with one hand while you juice your lime with the other. Those familiar with the blues and or Led Zeppelin can sing along as you see fit.
This was built to accommodate the smaller limes. Your results might vary with larger lemons or limes. Enjoy.
So.. . . It came to my attention that the legs of the original were a bit spindly. Mine snapped off with a little rough usage. But It still works pretty well without them. A friend who printed theirs sideways has had no issues. Apparently the layer direction helps. I went ahead and worked up two new versions, one with thicker legs and one with none but a groove at the top to help with grip.