I think you are an
My infix is energy,
Chi = variant spelling of qi, the circulating life force whose existence and properties are the basis of much Chinese philosophy and medicine.
My prefix a curve.
Arc = a part of a curve, especially a part of the circumference of a circle.
My suffix full of honey,
Hive as in, a beehive
And docs I preserve.
Archive = a collection of historical documents or records providing information about a place, institution, or group of people.
My prefix a curve,
Arch = a curved symmetrical structure.
My infix entering through vein.
IV = Intravenous therapy
My suffix is earth,
E (suggested by SteveV in the comments) or could be VE for Virtual Earth.
And I am where records remain.