I think I already know the answer but...

[Lopaka]

When I flew to Florida I put all my smokes and my cutter in my check in and they where all there when I picked them up in Florida. Check the TSA site and they should have what you can and can't take. For example, you can't carry a lighter, even in your checked luggage, on an airplane.

According to the TSA site, Cigar cutters are allowed in Check In and Carry on. TSA Prohibited and Permitted Items

Lighters are not allowed in checked or carry on unless they are empty. Also for those that want to carry matches...

*All lighters are prohibited as carry-on items. Lighters without fuel are permitted in checked baggage. Lighters
with fuel are prohibited in checked baggage, unless they adhere to the Department of Transportation (DOT) exemption, which allows
up to two fueled lighters if properly enclosed in a DOT approved case. If you are uncertain as to whether your lighter is prohibited,
please leave it at home.
** Up to 4 books of safety (non-strike anywhere) matches are permitted as carry-on items, but all matches are prohibited in
checked baggage.

However, check the site before you go because they change this a lot.