If you need just the recent mails, you can switch to the recent mode POP fetching in Gmail, which allows the download of only the past 1 months email to the POP clients.
Steps to switch to Recent Mode in Gmail Fetch:
1. Log in to mail.zoho.com
2. Click Settings >> Mail >> Mail Accounts
3. Click on the Edit icon across the account to be modified
4. In the user name field, specify recent: <Gmail username>
5. Provide the password
6. Make sure 'Leave Messages on the Server' is checked.
7. Click Save