If i may ask how do you mean or what do you mean by is there a hope of starting up a bitcoin with little cash. do you mean to just invest with little money and stop investing and leaving it till bitcoin skyrocket or do you mean investing into bitcoin little by little maybe weekly, monthly or yearly. however, if you mean investing little by little of course there is a hope that you are going to grow your holding or perhaps your investment but remember this will be possible if you are consistent with your accumulation because consistency is one of the key to success in bitcoin investment. lastly, the amount one uses to accumulate will determine how fast there holding will grow and the return they are likely to have in years to come.