date vs date stamp

date is a noun but date stamp is not a noun.

Word	Noun	Adjective	Verb	Adverb
date	Yes	No	Yes	No
date stamp	No	No	Yes	No

As verbs, date stamp is a hyponym of date; that is, date stamp is a word with a more specific, narrower meaning than date:

Other hyponyms of date include date-mark, dateline, datemark, date.

As verbs, date and date stamp are synonyms defined as:

date (noun)	date stamp (noun)
sweet edible fruit of the date palm with a single long woody seed
a meeting arranged in advance
a participant in a date
the specified day of the month
the present
the particular day, month, or year (usually according to the Gregorian calendar) that an event occurred
a particular day specified as the time something happens

date (verb)	date stamp (verb)
assign a date to; determine the (probable) date of	stamp with a date
provide with a dateline; mark with a date
stamp with a date
go on a date with
date regularly; have a steady relationship with