Recently I face this problem.so that I message on fiver support then they give me some idea.
It is important to keep in mind that when you log onto Fiverr, the system will detect that you are online. However, it may take up to 30 minutes for this status to appear to other users who view your public profile. Your online status will be displayed when you are actively using the Fiverr site.
If you stop working on the platform, the indicator will turn off as you must be actively using Fiverr for the online status to appear. Simply keeping a page open will not register your account as being online.
If you would like to remain online more frequently, we suggest downloading the Fiverr App on your mobile device. This will allow you to stay online for longer periods and have all your orders available on the go.
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Note: You can see my gig by clicking message idea and click here