It is not wrong to have savings or to be wealthy if you have given all the obligatory dues of Khums, Zakat etc.
The reason and intention behind saving and collecting wealth should be noble i.e. to do more good, and not ust to accumulate wealth or to show off. Some wealthy persons think that their wealth is the main pillar of their strength forgetting Allah and the Day of Hereafter. Such thought makes the wealth a curse on them and not a bounty. Allah says in Quran (Woe to every slanderer and backbiter, Who accumulated wealth and counted it, He thinks that his wealth will make last forever) Sura 104, Verse 1 to 3.