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I don't think there are many cases where it's used "correctly" but it does get constructed in some cases - e.g. in Harry Potter some of Ron's brothers call him

I don't think there are many cases where it's used "correctly" but it does get constructed in some cases - e.g. in Harry Potter some of Ron's brothers call him "ickle Ronniekins", which is slightly nonsense but we recognise it immediately as a maximally diminutive form of his name. I can't think of an augmentative suffix, only prefixes (super- and things like that).

quuxplusone 2y ago
We (via French, I guess) have a mildly productive suffix "-ette" or "-et", as in cigar-ette, kitchen-ette (floret, bassinet, owlet). It doesn't imply animateness the way "-kin" does; e.g. "hotelette" or "showerette" seem like plausible coinages in a way "hotelkin" and "showerkin" don't (but I sense some cross-pollination from Japanese "-kun" messing with my interpretation of the latter). But "-ette" certainly connotes femininity: "little Ronniekins" says he's a baby, but "little Ronnette" says he's a girl.
Symbiote 2y ago
-iekins makes sense to me as a nickname for an infant in Britain. Probably only spoken within the family.