I assume you are talking about the file in the ow_log folder.
Then you need to edit it once in a whiile to keep it cleaned out, there is no reason to look at errors that occured months ago. Just clean it out every few weeks and your good to go.
Also do the same if there is a error log file in the root of the domain that the server creates, if its not in public_html or your domain folder then all is good and you dont have one. If you ever see one look at it...
The problem with letting log files get too big is that they get to the point that we cant load them because they are so huge.
OR better yet, fix the issues. Now remember that "notices" are not fatal, most of them are due to improper coding practice from the dev but they are not fatal they are just what they say they are "notices".
define('OW_ERROR_LOG_ENABLE', 0);
This disable also the cron_log