I think there is no clean way of doing this.

Every object that has history enabled has a special table by the name "Custom_Object_History" or "StandardObjectHistory".

You can run the following query on that object:

SELECT count(Id),Field FROM Custom_Object__History group by Field

The result will be something like

Count     Field
1         Contract_Term__c
12        Contract_Expiry_Date__c
1         Type_of_Service__c

Using this you can get the field API names.

This may however give you the field history for past as well. You can put a date clause I guess.

I think there is no clean way of doing this.

Every object that has history enabled has a special table by the name "Custom_Object_History" or "StandardObjectHistory".

You can run the following query on that object:

SELECT count(Id),Field FROM Custom_Object__History group by Field

The result will be something like

Count     Field
1         Contract_Term__c
12        Contract_Expiry_Date__c
1         Type_of_Service__c

Using this you can get the field API names.

If your field API Name is present, the you have History Enabled on that field.

This may however give you the field history for past as well. You can put a date clause I guess.