Automatically Move Data To New Sheet

Is it possible to create a cell in one sheet, where after data is entered, will move it to another sheet. Additionally, the data in the cell, after the transfer to another sheet is made would delete itself. Once the data is entered, sent to another sheet and deleted, next time data is entered into the same cell, it would be sent into a row below the cell that the first piece of data would be in. Therefore, after I enter data, [for example] press enter, then go back to input some more data, after a while there would be a long list in another sheet. The last feature of the problem (it would be something extra really) is that the function/macro is to be time dependent - during one month the data would stack up in one column, after the next one begins, the next column will automatically start all over.

The idea is to create a budget book - where on the main page I would only have to enter the value in a specific box, the value then would be automatically sorted into the right row and column in another sheet, after the month/week ends, data would start to stack up in a column devoted to a new month/week.

Of course the data could be entered manually in different sheets, but it proved to be too complex to be useful.