First things first, dive into the API documentation for the service you want to connect with WeWeb. Get a good grasp of its rate limits. This could be how many requests you can make per minute, hour, or day, and any burst limits they might have.

Next up, you need to set up a request throttling mechanism in your WeWeb project. You can either code this yourself or use a third-party library that handles throttling. This step is crucial to make sure you don't go over the allowed rate limits.

Now, build some logic in WeWeb to keep an eye on the number of API requests you're making over time. For instance, you could use a counter to track each successful API call. Make sure to reset this counter periodically based on the rate limit policy (like every minute).

You also need to handle what happens if you exceed the rate limit. If the API sends back a response code that says you've gone over the limit (like HTTP 429 Too Many Requests), your code should back off and try again after the specified time period.

To cut down on unnecessary API calls, integrate caching mechanisms. Cache the responses from the API for a certain period and serve future requests from the cache instead of making a new API call.

Spread out your API requests over time instead of sending a bunch all at once. Implement logic to queue requests and process them at regular intervals to stay within the rate limits.

Set up retry logic in WeWeb to automatically retry failed API requests due to rate limiting after some time. Make sure the retry intervals respect the rate limit policies.

Use conditional requests to make smarter API calls. For example, use HTTP headers like If-None-Match or If-Modified-Since to request data only if it has changed since the last call, cutting down on unnecessary API calls.

Make sure all your configurations in WeWeb are set up to handle the API rate limits effectively. Update your settings and logic to stick to the API's guidelines on request limits.

Finally, regularly review the API rate limits and how your application is using them. Make any necessary adjustments to your request throttling, caching, and retry logic to ensure you stay within the API rate limits.