Customers who bought the set are being urged to return it to stores immediately for a full refund.
The recall affects sets sold between August 30 and December 6 this year. The product identification barcode can be found on the back of the gift box.
Boots said in a statement: "We are recalling the Radley Cosy Up Ribbed Socks and Ceramic Mug Gift Set due to a potential safety issue.
"The base of the mug may crack and break into pieces when used, posing a risk of burns."
The retailer added: "If you have purchased this product, please return it to your nearest Boots store for a full refund.
"We apologize for any inconvenience this may cause."
Boots has recalled a number of other products in recent months, including:
It is important to check the product recall notices on the Boots website or in stores regularly to ensure that you are not using any products that have been recalled.
By following these simple steps, you can help to ensure your safety and the safety of your loved ones.