The update also includes the 'Storage Check' feature under settings which helps resolve the 'other storage' space issue.
Your will receive a notification when the update is available for your handset at which point you can initiate it OTA over-the-air. You can also manually check for the update by heading to Settings > Phone Update > Check for Updates and initiating it if it is available.
The 1030.6407.1308.00xx update for the Nokia Lumia 620 has the following change-log
- Improved touch screen functions, including corrections in multi-touch actions
- Better voice quality with Bluetooth headsets that support echo/noise suppression
- Enhanced camera performance with corrected exposure when flash is used in bright light conditions
- Various improvements to system stability, performance, and usability
Have you received the update for your handset yet?