Hey Pritam, welcome to the forum!
If the visual metronome drifts after a few cycles, I’d recommend checking the same things I mentioned over here:
A couple of quick questions that might help narrow things down:
• Are your click tracks rendered as WAV/AIFF files, or are you generating the click inside Live?
Sometimes a rendered click can be accidentally warped or slightly shifted, which could introduce an offset.
• And if possible, could you share a screenshot or short screen recording showing what you’re seeing? That would help a lot in figuring out what’s going on.
Looking forward to your reply!