Hi ‘Fun hunting’ and welcome to Tnet.
Those are not chondrules, and your specimen is not a meteorite. It’s possible for a meteorite to be non-magnetic but, if it has chondrules, it would need to be carbonaceous (for which your specimen is completely the wrong colour) or from the very low metal group. Low metal chondrites usually exhibit some weak magnetism until you get to the LL group (which is relatively rare) but LL chondrites are the most homogeneous of the chondrite group and the chondrules invariably have poorly defined boundaries, making them difficult to discern. Quite unlike your specimen.
Your understanding of what a ‘clast’ is needs some clarification. A clast is indeed a fragment of rock which has a different composition to the matrix surrounding it but the geological definition does not imply that ‘fragment’ = ‘angular’.
Clastic rocks which have angular fragments are called ‘breccias’ and those with rounded or sub-rounded fragments are called ‘conglomerates’. It’s the amount of rounding which distinguishes the two types and conglomerates can have spherical clasts. The rounding of clasts in conglomerates is from weathering and/or water-rolling, producing clasts than can be any size from sand to boulders. The precise geological definition is that they should be larger than 2mm and comprise at least 30% of the overall composition.
Conglomerates are also subject to sedimentary ‘sorting’ such that the size of the clasts can be relatively uniform if well-sorted or a mixture of sizes if poorly-sorted. They’re also classified by composition of the clasts. When the clasts are all of the same rock type they’re called ‘monomict’ and when they have two or more different compositions they’re called ‘polymict’. Your rock is a relatively well-sorted polymict conglomerate (and terrestrial not meteoritic).
