A continuous casting installation comprises an ingot mould and an oscillating holding device used for causing the ingot mould to swing when in a casting position. The installation consists, in a separable manner, of an interchangeable part and a stationary part. To replace the intechangeable part, it is separated from the stationary one and moved using a conveying means, at least along a partial path, from its position of operation into an area beneath the casting position. This enables, especially in the multiline casting installations, the interchangeable part to be transported during the casting process and, for example, along paths comprising straight or arciform segments, to any purposefully selected position and to be replaced by a new interchangeable part to be replaced in multiline installations with no interference with the casting process in any adjacent ingot arrangement.