Grab full (large) list of followers without hitting rate limit?


I’ve been trying to make my application grab a full list of followers and friends for the authenticated user for caching purposes to be able to perform autocompletion. However, since I can only get 20 results at a time (cursored), I end up making a lot of requests really fast trying to grab the entire list and end up hitting the rate limit.

Perhaps I’m doing something wrong or have misunderstood a better way to accomplish this but can someone point me in the right direction as to what the best way would be to grab the entire list and cache it locally?