Method chaining is calling a method of an object that return the same type of the object multiple times.
One example is TweenLite‘s TweenLiteVars (in AS3):
var vars:TweenLiteVars =
new TweenLiteVars()
.prop("x", 300)
.autoAlpha(0)
.onComplete(myFunction, [mc]);
One more popular example is jQuery (in JS):
$("p.neat …