It was not shown any kind of interaction between them throughout the series.
See above section.
Among The Fans
SuiSaku is not popular among the fandom but still has it's own small fanbase. It could be shipped due to their personalities and how the two look together. Fans see it as an alternative couple to SasuSaku. Fans believe that Sasuke still probably wouldn't treat Sakura right, thus Suigetsu would be sympathetic to her. SuiSaku is rival pairing to SasuSaku, NaruSaku, and SuiKa.