No, we do not cache or log your GeoIP2 Precision query responses. If you would need to refer back to the output data returned for your completed queries (e.g. for determining when your integration sends a new request to the service, or for statistical analysis), you would need to cache or log that data outside of MaxMind.
We are, however, able to generate logs of your query usage volume over the past 90 days upon request. These support-generated logs can be helpful for troubleshooting query usage issues, but they do not include the response data for your queries.