Hey John,
Always go back to why did you buy in the first place? A strong solid stock like RBC is typically known as a foundational stock - that is one that forms the bedrock of your portfolio. However, if you bought for a short-term investment as a play on rising rates with no intention to keep long-term, it could certainly be time to book gains. Likewise, nothing wrong with selling part of a position and re-directing funds elsewhere if you are looking to balance your portfolio.
We will never recommend one sell or hold any particular stock. It does however, help to understand why you bought it in the first place. For myself, I don't own RY but do own TD and BMO - both of which I'm up by triple digits because I've owned them for years and years. However, I've never sold despite run ups or downtrends. Why? Because I bought them to provide consistent capital appreciation over the long-term and for their growing dividend. My reason for buying and subsequently holding them hasn't changed, so I see no reason to sell.
The only reason I'd consider selling is if I felt I needed to re-balance my portfolio. If my banks were making up a larger portion of my portfolio than I was comfortable with. However, in most of my years investing I've been able to rebalance with new cash, and thus far, haven't felt the need to sell any of my big banks.
Mat