Ride wave on mat

I believe the answer is:

roller coaster

I'm a little stuck... Click here to teach me more about this clue!

'ride' is the definition.
(roller coaster is a kind of ride)

'wave on mat' is the wordplay.
'wave on' becomes 'roller' (roller is a kind of wave. I am not sure about the 'on' bit.**).
'mat' becomes 'coaster' (I've seen this before).
'roller'+'coaster'='ROLLER-COASTER'

Can you help me to learn more?

(Other definitions for roller coaster that I've seen before include ""Amusement" ride" , "Switchback" , "scenic railway" , "Exciting ride" , "Fairground ride" .)

I've seen this clue in The Telegraph.

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