The following are some sources of used amateur (ham) radio equipment in the UK. I am not endorsing any of them specifically, just putting the links here for information.
Commercial Dealers
Martin Lynch & Sonshttp://www.hamradio.co.uk/used-equipment-pc-561.php
Waters and Stanton
http://hamradiostore.co.uk/deals.html?cat=160&max=0&min=0
Radioworld
http://www.radioworld.co.uk/used_ham_radio_equipment
LAMCO
http://www.hamradio-shop.co.uk/product-category/used-ham-radio-equipment/
Nevada Radio
http://www.nevadaradio.co.uk/used-equipment/
G3RCQ
https://g3rcq.com/
Haydon Communications
https://www.haydon.info/products.asp?cat=67
Moonraker
https://www.moonraker.eu/used-2
Knights
Mainly CB radios but sometimes have used amateur radio equipment for sale.
http://www.kcb.co.uk/sechand
Small Ads
Buying privately means buying without any sort of warranty, but prices will be lower and there is no come back. Ebay prices can be as high as buying from a dealer so be careful.
Ideal for finding items for sale locally.
https://www.gumtree.com/for-sale/uk/ham+radio
Ebay
http://www.ebay.co.uk/sch/Ham-Amateur-Radio-/4670/i.html
G3CWI's Amazing Online Flea Market
http://www.fleamarket.org.uk
Amateur Radio Sales
JunkSale Amateur Radio
Amateur Radio Equipment for Sale or Trade