Found on Ebay being sold by Tesco with 1 year guarantee:
£19.98 or £19.99 TECHNIKA DAB-109CR
(small radio / alarm clock)
£22.97 TESCO DAB-109F STEREO DIGITAL ALARM CLOCKRADIO
(mains / battery, wood effect case, silver [plastic] front and handle)
Both have Free delivery. Someone else has a couple of the DAB-109CR at 14.99 (search for "E-sonic DAB FM Clock Radio Alarm") also with free delivery.
Just to say I know some are not enthusiastic about DAB (and I appreciate some of the shortcomings) but if you want relatively cheap way to hear R4 Extra or FiveLive or 6Music or 1Xtra or LBC etc then I can recommend these radios.
I live about 10 miles south of Chester but with bedside radio upstairs (thin wire aerial) and mains/battery model downstairs (telescopic aerial) can get stations from Liverpool (30ish miles) and Manchester (40+ miles) on DAB, plus the usual national stations (BBC and LBC, JazzFM, Smooth radio etc).