Or if you're using XP, right click on the task bar, click on 'unlock the task bar', right click on the Skype icon and delete it, then right click again on the task bar and click 'lock the task bar'. Skype will still be available from the programs list, but the icon will no longer be on your task bar.
The normal option is only 'pin to task bar',,,, as though it isn't pinned.
There is no option to unpin.
WW: cheers. I'd thought i'd been through the skype settings with a fine tooth comb (not that I need much of a comb !?) but I obviously missed that, very important, bit.
Have un-ticked it,,,, so see what tomorrow brings.