The plastic lid of your takeaway coffee cup can be recycled in your yellow-lidded recycling bin. The cup itself is not recyclable. Please dispose of these in your household garbage bin.
Better still, avoid disposable cups by taking your own reusable coffee cup. Responsible Cafes connects thoughtful cafes with conscious consumers by offering a discount to customers who bring their own reusable takeaway cups. Visit the above link to find a participating café near you.