If this is a repeatable event, a 24 hr. recorder often referred to as a Holter Monitor will capture the arrhythmia. If it's an occasional event, a long term monitor Often referred to a the King of Hearts Monitor is worn for up to a month and will capture the events when they occur.
As explained above, the heart can be structurally normal and robust, yet have an anomaly in its electrical system. I know this only too well! These can develop over time as you age, or can even occur at birth as mine did. Weight lifting creates huge and abrupt internal pressure variations. There is something else you probably unknowingly do when lifting called Valsalva which can exaserbate the arrhythmia. Valsalva is often used to halt a rapid heart rate condition called SVT by causing an abrupt rise in pressure. But it can also create skipping and arrhythmia as well.
I looked back and see that you've complained about the this before. It would be wise to get to a cardiologist to have his check you out. Your heart under normal conditions will most likely appear quite normal. this is why a monitor or a treadmill stress test are valuable tools.
Usually, an ultrasound of the heart is done to see if you have a structurally normal heart. It's a simple, cheap and effective test. If anything suspicious is found, further imaging tests (cardiac MRI, cardiac CT or angiography, etc.) are done.
However, most arrhythmias in young people happens in the absence of structural heart disease. What you describe is very common (I had the problem myself), and usually stress/anxiety reduction and possibly a small dose of beta blockers will do the trick.
You will probably not drop dead during exercise, but I would recommend asking your doctor for a stress test. If that's not enough to provoke the arrhythmia (often we feel calmer in the doctor's office), wearing a Holter monitor while exercising can be helpful.
I would, just to be sure, get a diagnosis before doing heavy exercise. It's probably nothing dangerous, but why take the chance?