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tolerances and clearances on components

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Does thermal growth get taken into consideration when dissimilar materials are used together or heat applications the motor will be used for to get the proper tolerance desired for the parts, for example a v8 running rough for the first 5-10 minutes, once the engine is up to operation temp all the parts grow to their actual operational tolerance sizes under operational temperature of the engine.

Yes, material and the coefficient of thermal expansion is accounted for with clearances. In particular you'll normally find the main bearing tolerances are tighter for an alloy block than a cast iron one. This is also the same for alloy rods.

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