Logos and (trademarked) names are under the trademark law.
First of all it may not be misconstrued that the club(s) endorses the betting site (unless they actually do but that should have some contract backing that up). Some clubs may not be content that their logo is used in an add for gambling.
On the betting page itself or in a list with matches to bet on. Then it would be nominative use. As it would be used as a way to identify the trademarked club rather than an endorsement of that club.
Safest way to go about it is to approach each club (or an organization that is allowed to sub-license these rights) and acquire a license to use the trademark for this purpose.