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I suddenly really wanted some crispy chicken skin.
Literal
Suddenly [mimetic-かりかり] chicken-skin [subject-が] eat-want became.
Casual food craving. かりかり is a mimetic for crispy, crunchy texture — specifically for things like fried chicken skin, toast, bacon, or baked crusts. 鳥皮 ('chicken skin'). ~たくなる ('come to want to X') combines the ~たい desire form with なる ('become') — a useful pattern for 'suddenly wanting to X.' 急激に ('suddenly, rapidly, drastically').