Here is a common pattern of call and response which is found in many Blues songs. There are lots of variations, but memorising this pattern will enable you to play call and response very effectively with other musicians or singers. The first two responses are played over chord 1, while the third response is a turnaround. A good example of this format is the song “Sweet Home Chicago”.
Another useful technique is to play call and response with yourself when you are soloing, or to use a call and response approach to create a guitar part which fits with the rest of the band. This is particularly common in Funk. The following example demonstrates this technique, with each chord being answered by a lick.