Lack of the acentric fragment in one of the daughter cells may have deleterious consequences, depending on the function of the DNA in this region of the chromosome.
In the case of a diploid organism, the daughter cell lacking the acentric fragment will show expression of any recessive genes found in the homologous chromosome.
Acentric fragments can also be produced when an inverted segment is present in one member of a chromosome pair.
In that case, a crossover event will result in one chromosome with two centromeres and an acentric fragment.
The acentric fragment will be lost as explained above, and chromosomes with two centromeres will break unevenly during mitosis, resulting in one daughter lacking essential genes.