It's gonna be tough to find anything "good" for $5 or less. If you have a Target near you, you might be able to find a Duncan Butterfly XT, those are $4.99. As far as Amazon goes, maybe a K2 Crystal or something

MAGICYOYO K2 Plus Crystal Responsive Yoyo for Kids, Dual Purpose Plastic Yo-yo for Beginner, Replacement Unresponsive Bearing for Intermediate, with Bearing Remover, Bag, 5 Yoyo Strings (Green) https://www.amazon.com/dp/B08J72SDMZ/ref=cm_sw_r_apan_glt_i_1C4RSY8ATRFPS4H4C7J5

But that's $12.99

Take a look at the Sage or Oracle at Yoyotricks.com, the sage is a good beginner yoyo with the potential to upgrade to unresponsive later on.

https://yoyotricks.com/shop/the-sage-yoyo/

The Fizz is a decent beginner yoyo for around $10, but I'd say it's probably just a more solid Butterfly XT.

MAGICYOYO K2 Plus Crystal Responsive Yoyo https://www.amazon.com/dp/B08J72SDMZ/ref=cm_sw_r_apan_glt_fabc_H87F6FY7VRW369D40VJA

This is the one I got, but I live in the us. Hopefully you can find one on the UK amazon