There are many synonyms for the phrase "gives foot", which refers to offering someone a ride. Some common phrases include "gives a lift", "offers a ride", "provides transportation", "gives a ride", and "gives a lift". Other words that could be used to describe this action include "transporting", "ferrying", "shuttling", "carpooling", and "picking up". Depending on the context and the type of transportation offered, other phrases may also be appropriate, such as "driving someone", "dropping someone off", or "giving someone a lift home". Ultimately, there are many ways to describe the act of offering someone a ride, and the specific terminology used may depend on regional variations and personal style.