Piston slap is a distinct possibility. . All to often when an engine is rebuilt, the cylinders and pistons are not measured to insure they fit properly. A good clue is to look at the ridge on the top of the cylinder where the top ring stops. If the ridge is very pronounced, that indicates a lot of wear on the cylinder wall and should definitely be measured. If the ridge is there but not very pronounced, then there has been little wear and the old pistons can be reused without a problem. A piston slap noise would tend to be loudest when the engine is cold and disappear.
cut and pasted cos it takes to long to type/
your pistons sem to be original triumph +20
measure everything, it wouldnt be the first time I seen +20 pistons in a 30 thou bore