Sounds like those “soft touch” plastic surfaces. I’ve had a bunch of old plastic things turn sticky that way - it’s really hard to get it off but what I do is alternate between isopropyl, WD40 (brushed on with a cotton swab or cotton ball and let it sit for a while to let it break down the sticky before using Clorox or isopropyl to remove the WD40), and Clorox wipes. Eventually the matte finish comes off and you’re left with a shiny plastic surface. It just takes a lot of elbow grease, I often give myself finger blisters from scrubbing but it’s a relief to get it off.