Rest in Peace has a replacement effect that reads: 'If a card or token would be put into a graveyard from anywhere, exile it instead.' This effect applies to any movement into the graveyard, with no exceptions for how or why the card is going there (CR 614.1a).
When you cycle a card, the cycling cost requires you to discard that card (CR 702.29a). Discarding a card normally puts it into its owner's graveyard (CR 701.8a). However, Rest in Peace's replacement effect intercepts this event before it occurs, redirecting the card to exile instead (CR 614.1).
The card never touches the graveyard at all. The cycling ability still resolves normally — you pay the cost, discard the card (which goes to exile), and draw a card — but the discarded card ends up exiled rather than in the graveyard.
Example: You control Rest in Peace and cycle Eternal Dragon by paying its cycling cost. You discard Eternal Dragon — instead of going to your graveyard, it is immediately exiled. You still draw a card as normal from the cycling trigger.
This interaction is significant because it means you cannot use cards like Eternal Dragon's 'return from graveyard' ability or other graveyard-matters synergies after cycling while Rest in Peace is on the battlefield.
Unofficial fan resource — not affiliated with or endorsed by Wizards of the Coast. Answers are AI-generated estimates grounded in the Comprehensive Rules and are not a substitute for an official judge. Verify anything match-critical.