>That's a "dessert" or "sweet" or "afters". Pudding can also be savoury, as in steak & kidney pudding - like a pie but with soft, squidgy pastry round it, pease pudding (as in the nursey rhyme).
As generally the words ending with -ing are derived from a verb (go - going, rhyme - rhyming etc), from what verb does pudding come?