John McGinn scored his 16th international goal after 21 minutes of their European Championship qualifying Group A opener but it was not until Scott McTominay grabbed a late double that the Tartan Army could relax.
But boss Clarke wants to take the positives into what is sure to be a much tougher game.
“It’s a better start than we’ve had to a European Championship campaign in a long time,” said Clarke, who revealed Che Adams went off with a tight calf and that him recovering in time for Spain would be “optimistic”.
“Against the teams seeded lower than you it’s important to pick up maximum points at home.
“Cyprus were good and organised but we managed to contain them.
“There wasn’t much threat on our goal.
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