Enlighten Me

We’ve been having a clearout here, and earlier I came across this:

I really hope it's nothing sexual

I open this out to the web, because it’s defeating me. What on earth is it? My observations:

  • It has a 12v plug, so it must be something for the car
  • It must be phone-related, as the label says ‘Call-Mate’, but there’s nowhere to attach a phone
  • There’s a headphone socket on the base, as well as a volume control.
  • There’s a speaker on the pluggy-into-car-y-bit
  • There’s no microphone, as far as I can tell
  • The clippy bit has a sucker on one of the pads
  • If it’s not phone related then it’s sexual beyond my knowledge