You'd be less likely to drop a chain shifting with a clutch version but that's about all it will do for road bike.
If you took your left hand and pushed the RD forwards and up towards the crankset, it would move fairly easily until you let go and it sprang back to normal. When you push it forwards, this takes tension off your chain and it sags.
In a regular RD, the spring in that lower arm is all that is keeping the lower part of the chain tensioned. When you go over bumps, rocks etc, the weight of your bouncing chain pulls the spring loaded arm forwards creating slack and "chain slap". Chain slap is when your RD arm and chain are bouncing enough for the chain to slap the chainstay bracket. This is obnoxious. Also when your chain is loose like that, it is easier for it to bounce off of your chain rings and make your day a living hell.
A clutch RD eliminates the bounce. Take the same diagram as above with a Clutch RD. If you pushed the RD up and forwards, it wouldnt move. It is held in place by a small piece that prevents it from moving forward. This keeps your chain properly tensioned, preventing the chain slap and bounce.