Based on the clue "Counter offer?" and the word "freesample," it seems like "freesample" may refer to a sample or free product that is offered as a counter offer in negotiations or discussions. In this context, it could mean providing a complimentary sample or product as a way to counter an offer or proposal made by the other party.
Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Counter offer?. Explanations are generated by AI and may be inaccurate.