You can find information about the limits on shared links in this help center article. This also includes interacting with shared links via the API.
Additionally, the Dropbox API does have a general rate limiting system that applies to all account types, based on the number of calls over time, but we don't have specific rate numbers documented for that, and we cannot increase the limits for any particular app, user, or team. Apps should be written to handle these rate limit responses automatically. Also note that not all responses with a 429 or 503 status code indicate explicit rate limiting, but in any case that you get a response with 429 or 503 status code the best practice is to retry the request, respecting the Retry-After header if given in the response, or using an exponential back-off, if not. I recommend referring to the error documentation and Error Handling Guide for more information.
