Are you referring the logs of the local machine or the logs of client machines that are stored on the server?
If its of the client logs you can have a restriction to the number of days for which the logs should be maintained in the Services-> EMC Settings ->Log Settings.
I think ZIP logs or report files is a good idea.
Our customer using mail reports to MIS people, many times the report files having above 10MB size data.
But most mail system has restricted the mail size with 10MB, and reports may NOT send to MIS people.
If eScan can ZIP logs or report files, then will less problems for log files or sending reports.