I wonder if it's creeping cucumber.

Melothria scabra aka mouse melon

A.k.a. wild cucumber( Melothria pendula)? Do the leaves smell of cucumber when crushed? I really think it's not the scabra, since Googled results show scabra having very spiny stems & these look smooth....

Journey, it is a Mexican sour gherkin and you can eat it as they are or pickle them, there are recipes online.

I grew them last spring, very productive and grows fast, here are some pictures of the vine and the fruit

Silvia

The Melothria native to a good portion of the U.S. east of the Rockies is M. pendula. Their gourds will eventually turn dark purple/black on the vine. If m. scabra doesn't do this, might be an easy way to confirm which one you have. Mentioned this already on your NTP post, but see cautions about the gourds of the U.S. native picking up strong laxative properties as they darken.

Here is your plant on my new favorite plant site that is helping me ID my Northeast Florida weeds.... Better be glad you didn't eat a ripe (purple to black) one!!!!

http://www.eattheweeds.com/creeping-cucumber-melothria-pendula/