For the last few weeks, I've been scratching my head because I could paste content into cygwin with a right click on my work computer, but I couldn't do it at home. And more annoyingly, I couldn't figure it out until a few minutes ago.
To enable paste with a right mouse click, follow these steps (written for dummies like me)
1) Open the cygwin options (aka preferences or settings)
2) Select mouse in the left menu, and select Paste under Right click action
And since the last few versions of cygwin supports windows resize, it has the same good features as putty :).