It depends ...though on most occasions it might not be used as its easier to scan entire table to get values rather than traversing through index tree. But that being said, if number of columns are large and if index is covering one or selectivity is large, optimiser might choose to use the index
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A friend had a case where a small table benefited a lot from a clustered index when it was used in a nested loop many times in the query plan - but that was an odd scenario nad was due to the internal strauctures built rather than the index itself.
The only way to tell is to try it and see. You should probably have a unique contraint on every table.
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