Should I be concerned if I feel like my heart is skipping beats in pregnancy?

Common but.... Although it is common it still needs to be checked out by your doctor.
Yes. Most pregnant women are exceptionally healthy, and handle a pregnancy without difficulty. But, believe it or not, pregnancy can put a huge amount of stress on a heart over 9 months, so any cardiac symptoms should not be ignored. Skipped beats, extra beats, chest pain, or unexplained shortness of breath should be brought to the attention of your doctor.