I am a tutor on Chegg in the subject advanced physics and have recently been applying to various internship opportunities as I am in my final year of undergrad. I have the experience of being an educator at an indian organisation, and was thinking whether I can add this new tutor part time job to my CV. The problem is that I have the opinion that professors don't look at chegg as something good, so is there any way it could look bad on my resume?
I would probably interpret "tutor on Chegg" to mean "paid to help students cheat". Maybe this isn't a fair assessment of your job there, but it's certainly the impression I get out of Chegg.
I am only willing to answer student questions on StackExchange on other sites here like Biology.SE because of strict moderation policies that prevent students from using the site as a homework cheating tool rather than an educational aid. Other sites without these controls, especially those that seem to have a business model based on helping students cheat, leave a bad taste in my mouth.
Keep your resume to what is relevant, and highlight how your experience has been for positive learning rather than cheating, or leave it out.
Chegg is notorious for student cheating - we actually had instructors scouring Chegg during the exam this year to search for real-time cheating. It was surreal. But that being said, Chegg in and of itself is not bad, and tutors on Chegg can't be held responsible for cheating just because they post on Chegg.
So, if the job requires you to show experience as someone who can handle remote learning, remotely communicating with students, that sort of thing, Chegg could be relevant experience. Now, if the person doing the hiring has reasonable knowledge of Chegg they'll also know that it is used a lot for cheating, so you will have to do some work on your resume to show how you specifically did not contribute to student cheating. This is a big hill to climb and I doubt you'd be able to do it. On the other hand, if it is for a job where the hiring person doesn't really know what Chegg is for you won't have this issue.
If the job doesn't require you to show any of this, I'd leave it off for two reasons. First, Chegg is sketchy and is obviously a cheating mill. Second, it is not worth it to waste the hiring person's time with irrelevant experience. Unless you can swing your Chegg experience to be relevant to the job you are applying for, it doesn't really do much for you to leave it on.
Now, since you asked this question it's pretty obvious that you knew you were likely helping students cheat. Perhaps use that to guide your choices of what goes on your resume...