Thanks all for the replies!
Yeah, it's confusing because the Kymco parts PDFs don't have the blinker/"winker" listed as a part. I went to a scooter store that sells Kymco and parts and he was confused.
Here are some photos of the light, (and where it's missing!)
Thanks again - if anybody has any other ideas, let me know. My scooter isn't exactly perfect/beautiful, so I don't care much about how the replacement looks, I mainly just want to be street legal!