Commentary for Mikvaot 10:5

מטבילן עד מקום המדה (one immerses them up to the point of their proper measure) – and the rest does not require ritual immersion, for all that are stand to be cut off is considered as something cut off. And there is no interposition to the place of the cutting itself, for the covered parts of utensils do not require being in water like that of a human being, and they permit the covered parts of utensils on the covered parts of humans, for whereas the covered parts of a person, assuming that they don’t require water coming on them, we do need that they are worthy for water to come on them, but the covered pars of utensils, even if they are worthy for water to come upon them, it is not necessary, for a person is not particular/mindful there.

Any handles of vessels which are too long and which will be cut short, need only be immersed up to the point of their proper measure. Rabbi Judah says: [they are unclean] until the whole of them is immersed. If the handle of a vessel is too long and is supposed to be cut off, but has not yet been cut off, it needs to be immersed only up to the point at which it will be cut off. We consider the remainder of the handle as if it had already been cut off. Rabbi Judah says that since the extra part of the handle is connected to the part that will remain, he must immerse the whole thing.

ר' יהודה אומר כו' – but the Halakha is not according to Rabbi Yehuda.

The chain of a large bucket, to the length of four handbreadths, and a small bucket, to the length of ten handbreadths, and they need only be immersed up to the point of their proper measure. Rabbi Tarfon says: it is not clean unless the whole of the chain-ring is immersed. Up until four cubits, the chain of a large bucket is considered to be its handle. But longer than that, it is not necessary for the bucket and is not considered to be part of it. Therefore, it doesn't need to be immersed beyond four cubits. The small bucket must be immersed up until 10 handbreadths because it is lowered using this chain into the well. (See Kelim 14:3). Rabbi Tarfon adds that if the proper measure (4 or 10) ended in the middle of a chain ring, then the whole ring must be immersed. A bit nit-picky, but no one's asking my opinion, are they?

מטבילין עד מקום המדה – until [a length] of four [handbreadths] for a large [bucket] and up to ten [handbreadths] for a small [bucket], and the remainder is ritually pure and does not require ritual immersion, and even if the measure ended at half of ring in the chain, there is no need to immerse other than up until one-half of the ring.

The rope bound to a basket is not counted as a connection unless it has been sewn on. A rope attached to a basket is not considered to be connected to the basket, so it need not be immersed with the basket.

ר' טרפון אומר עד שיטבול את כל הטבעת – for the measure had ended at its half. And the Halakha is not according to Rabbi Tarfon.