Caffeine intake can cause transient vasoconstriction in the skin's capillaries and arterioles, usually followed by compensatory vasodilation, resulting in minimal and transient effects on the skin.

“caffeine is a known Vaso constrictor fortunately when it's consumed in quantities that we have in coffee tea and you know equivalent beverages the amount that affects the tiny capillaries and arterials in our skin is minute and transient so you may get a a transient Vaso constriction with high caffeine intake but usually there's a compensatory vasod dilation as a result so the effects on skin are not as atic as people may make it seem”