Hi,
!!!!!! is a (rather unhelpful) error code that means basically that it can't print for some unknown reason. If the tape is not jammed in the printhead, and the tape seems to move freely, then generally it means the machine is broken.
To be sure you can call Dymo tech support on 020 7341 55 29 (UK)
If it's under warranty, you can return by going here:
http://global.dymo.com/enGB/ServiceAfterSales/default.html (UK)
If not you'll need another one...
http://www.dymo-label-printers.co.uk/Dymo-Label-Maker.html (UK)
You don't say which model you have, but if it's the one in the picture it should still be under warranty as they're fairly new and come with a 3 year warranty (in the UK at least).
For US or other countries go to
www.dymo.com and select your country, and then the returns and contact information can be found there.