Late fee for composition

Yes, you have to late fee

No late fee for composition dealer .
Only filing return GSTR 4 annual return attracts late fee if not furnish by due date in case of composition dealer.

There is a late fee , for composition dealer also , read carefully.
Late fees of Rs 200 per day for GSTR 4

43rd GST meeting , late fees cap decided 500 per return late fees for nil return and 2000 per return for other than nil.

@ AKN Financial
kindly read the reply above , for GSTR 4 late fee is leviable, but for CMP 08 there is no late fee.
CMP 08 is statement-cum-challan to declare the details or summary of his/her self-assessed tax payable for a given quarter. It's not return form, there is no late fee on same
(Reference Rule 67 & Section 47 of CGST Act)