- Honor your parents? Yes absolutely.
- Sin? No never.
- What is trump? Don't sin!
However it should be noted that the trump card will never need to be used because on closer inspection these two things are never actually in conflict. If your parents ask you to murder your neighbor (clearly sin) it would be no honor to them if you obeyed. The same principle can be extrapolated back to "smaller" sins. While your parents own sinfulness might cloud their perspective on what is or is not honoring, ultimately you are trying to honor God through honoring your parents.
The commandment to honor our parents does not say that we must obey every edict they may give us. However it is also clear that obedience is on of the primary ways that we can show honor and respect. Obey in so far as you are not being asked to sin. If in doubt, honor your parents. If something comes up that you understand to be sin and can Biblically demonstrate how something would be dishonoring to God, decline in an honorable way!
If it's your family's tradition to cuss (or to be bank robbers) there is nothing in the commandment that mandates that you also pursue that lifestyle. You can still act honorably towards someone as your parent even if they reject you as a child because of your choice.
This is particularly evident in extreme cases. For example say your parents are Muslims. From their perspective that their offspring would believe in Jesus as God, go to a Christian church, pray, read the Bible and fellowship with other Christians is an unthinkable shame. In their mind nothing you do will be honoring as long as you persist in your beliefs. However is it really dishonoring them that you have chosen to follow the truth? Of course not. Can you still treat them respectfully and in an honorable way even if they reject you and ostricise you? Yes you can, and you should.
But it doesn't take an extreme case for to apply this principle. It starts being applicable when they ask you to come finish the dishes but you feel like you ought to finish that great post you're working on for a Christian Q&A site.
1 Peter 3:14-17 (ESV)
But even if you should suffer for righteousness' sake, you will be blessed. Have no fear of them, nor be troubled, but in your hearts honor Christ the Lord as holy, always being prepared to make a defense to anyone who asks you for a reason for the hope that is in you; yet do it with gentleness and respect, having a good conscience, so that, when you are slandered, those who revile your good behavior in Christ may be put to shame. For it is better to suffer for doing good, if that should be God's will, than for doing evil.