Mark hurried, in case of blood (5)
I believe the answer is:
brand
'mark' is the definition.
(brand is a kind of mark)
'hurried in case of blood' is the wordplay.
'hurried' becomes 'ran' (running is a kind of hurrying).
'in' is an insertion indicator.
'case of' means to remove the middle letters (outsides of).
'blood' with its centre removed is 'bd'.
'ran' going inside 'bd' is 'BRAND'.
(Other definitions for brand that I've seen before include "Mark with a hot iron" , "Make of product" , "Name given to a product or service" , "a particular kind" , "Type - it's burning" .)