Ruling on responding to the adhaan recorded on the al-Fajr clock
Question

                In my house I have an al-Fajr clock that gives the adhaan at the times of prayer. There are no mosques in the city in which we are living. Is it prescribed to respond to the adhaan on the clock or not?.
Praise be to Allah.It is not prescribed to 
      respond to the recorded adhaan, because it is not a real adhaan, i.e., it 
      is not done by the muezzin at the time; rather it is a recording of a 
      previous adhaan. 
Shaykh Ibn ‘Uthaymeen (may 
    Allah have mercy on him) was asked about the adhaan on the radio or 
    television: should one respond to it? He replied: 
With regard to this adhaan, 
    one of two things must be the case: 

    (i)It is on the air, i.e., the 
    adhaan is being given at the time of prayer by the muezzin. In this case it 
    should be responded to, because of the general meaning of the command of the 
    Prophet (blessings and peace of Allah be upon him): “When you hear the 
    muezzin, say what the muezzin says.” But the fuqaha’ (may Allah have mercy 
    on them) said: If he has offered the prayer for which the call is being 
    given, he does not have to respond.

    (ii)The adhaan is recorded and is 
    not an adhaan being given at the time; in this case it should not be 
    responded to, because it is not a real adhaan, i.e., the man is not giving 
    it at the time it is commanded to give it; rather it is an audio recording 
    of a previous adhaan.
End quote from Majmoo‘ 
    Fataawa al-Shaykh Ibn ‘Uthaymeen, 12/196 
What is prescribed is for 
    you to give the adhaan in your house, so that you may attain the reward of 
    this great ritual, because of the report narrated by al-Bukhaari (609) from 
    ‘Abd al-Rahmaan ibn ‘Abd-Allah ibn ‘Abd al-Rahmaan ibn Abi Sa‘sa‘ah 
    al-Ansaari from his father, who told him that Abu Sa‘eed al-Khudri said to 
    him: “I see that you like sheep and the wilderness. When you are with your 
    sheep in your wilderness, and you recite the Adhaan for your prayers, raise 
    your voice, for no jinn or man or anything within the voice range of the 
    muezzin hears the call, but will bear witness for him on the Day of 
    Resurrection.” Abu Sa’eed said: I heard this from the Messenger of Allaah (peace and blessings of Allaah be upon him).
It is also prescribed for you to respond to the real-time adhaan that is transmitted live on the radio or television, as stated above. 
And Allah knows best.